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Dec 18, 2017 at 12:57 history edited Martin Sleziak
changed (lattices) to (lattice-theory) (See the tag-info; the tag lattices is for lattices in number theory.)
Dec 11, 2017 at 16:33 history edited Martin Sleziak
Removed deprecated (discrete-mathematics) tag - see the tag info: https://mathoverflow.net/tags/discrete-mathematics/info (if there are some other suitable tags, choose some of them instead)
Dec 11, 2017 at 4:41 history edited Michael Hardy CC BY-SA 3.0
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Apr 13, 2017 at 12:19 history edited CommunityBot
replaced http://math.stackexchange.com/ with https://math.stackexchange.com/
Feb 16, 2017 at 15:09 history edited MR_BD CC BY-SA 3.0
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Feb 16, 2017 at 14:50 comment added Asaf Karagila Mentioning that it was previously posted on math.SE, with links, is the least you can do if you choose to post on both sites.
Feb 16, 2017 at 14:35 history edited Andrés E. Caicedo
edited tags
Feb 16, 2017 at 3:03 review Close votes
Feb 16, 2017 at 8:20
Feb 15, 2017 at 21:32 answer added მამუკა ჯიბლაძე timeline score: 2
Feb 12, 2017 at 14:30 comment added MR_BD @EmilJeřábek Thanks to you, I've found it in Knuth's Art of computer programming.
Feb 10, 2017 at 13:31 comment added MR_BD You said: "These functions have about as complicated structure as general monotone Boolean function"
Feb 10, 2017 at 13:27 comment added Emil Jeřábek Yes, obviously. How is that supposed to help?
Feb 10, 2017 at 13:23 comment added MR_BD @EmilJeřábek I thought that monotone functions are up closure of some generator set. Aren't they?
Feb 10, 2017 at 13:21 comment added Emil Jeřábek I don’t know what kind of characterization are you looking for. For one, they are exactly the functions definable by terms using variables and the three-variable majority function (see e.g. en.wikipedia.org/wiki/Post%27s_lattice). These functions have about as complicated structure as general monotone Boolean function, so you shouldn’t expect a simple explicit description of all such functions, or anything like that.
Feb 10, 2017 at 13:09 comment added MR_BD @Rahman.M This name arises from the origin of problem which is graph properties...
Feb 10, 2017 at 13:08 comment added MR_BD @EmilJeřábek So, Is there any characterization of self-dual monotone boolean functions?
Feb 10, 2017 at 13:07 comment added Rahman. M Where you are taking complement? note that the first condition in 1 is better to be called upward closed rather than increasing.
Feb 10, 2017 at 13:02 comment added Emil Jeřábek Such sets are exactly the sets of the form $f^{-1}(1)$ for a self-dual monotone Boolean function $f$ of $n$ inputs.
Feb 10, 2017 at 11:43 answer added Ramiro de la Vega timeline score: 7
Feb 10, 2017 at 10:13 comment added MR_BD @JonMarkPerry I supposed it as power set lattice
Feb 10, 2017 at 8:40 review Close votes
Feb 10, 2017 at 10:03
Feb 10, 2017 at 8:18 answer added Bjørn Kjos-Hanssen timeline score: 4
Feb 10, 2017 at 8:15 comment added JMP what does $\subset$ mean in $A\subset\{0,1\}^n$? why do we need $A^c$?
Feb 10, 2017 at 8:06 history asked MR_BD CC BY-SA 3.0